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8257106616 = 2331131276919
BaseRepresentation
bin1111011000010100…
…10111001010111000
3210022110012110212120
413230022113022320
5113402304402431
63443202241240
7411422151063
oct75412271270
923273173776
108257106616
113557a15460
121725356220
13a178a3405
145848b38da
15334d85196
hex1ec2972b8

8257106616 has 32 divisors (see below), whose sum is σ = 22519382400. Its totient is φ = 2502153440.

The previous prime is 8257106603. The next prime is 8257106617. The reversal of 8257106616 is 6166017528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8257106617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15638196 + ... + 15638723.

It is an arithmetic number, because the mean of its divisors is an integer number (703730700).

Almost surely, 28257106616 is an apocalyptic number.

It is an amenable number.

8257106616 is an abundant number, since it is smaller than the sum of its proper divisors (14262275784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8257106616 is a wasteful number, since it uses less digits than its factorization.

8257106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31276939 (or 31276935 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 8257106616 is about 90868.6228353880. The cubic root of 8257106616 is about 2021.2000365438.

The spelling of 8257106616 in words is "eight billion, two hundred fifty-seven million, one hundred six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 31276919 62553838 93830757 125107676 187661514 250215352 344046109 375323028 688092218 750646056 1032138327 1376184436 2064276654 2752368872 4128553308 8257106616